Talk:Simple function

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[edit] Confusing sentence

We set I_{n,k}=\left[\frac{k-1}{2^n},\frac{k}{2^n}\right) for k=1,2,\ldots,2^{2n} and I_{n,2^{2n}+1}=[2^n,\infty].

Someone should explain how it is that I_{n,2^{2n}+1}=[2^n,\infty]. I don't think it is correct.

Timhoooey 00:12, 8 October 2007 (UTC)

That's the definition of I_{n,2^{2n}+1}, as indicated by the 'we set'. Algebraist 11:06, 1 June 2008 (UTC)